To make a long story short, I want to do something very romantic for my girlfriend.

Does anyone know the names of specific places in Montauk that were in the movie, or where they may be? I haven't seen the movie in a year and a half (just ordered online) so I'm a little iffy right now on some parts. Like, the main part is the ice they laid down on. That is actually in Montauk in real life? Other scenes?